The Kevaire Invariant of Hypersurfaces in Complex Projective Spaces.
The Koszul Algebra of a Codimension 2 Embedding.
The Lazarfeld-Rao property on an arithmetically Gorenstein variety.
The Lazarsfeld-Rao problem for Buchsbaum curves
The Local Nash problem on arc families of singularities
This paper shows the affirmative answer to the local Nash problem for a toric singularity and analytically pretoric singularity. As a corollary we obtain the affirmative answer to the local Nash problem for a quasi-ordinary singularity.
The Local Torelli Theorem. I. Complete Intersection.
The Milnor fiber and the zeta function of the singularities of type
The minimal freee resolution of the homogeneous ideal of s general points in P4.
The Modell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3.
The nil Hecke ring and singularity of Schubert varieties.
The non rationality of the generic Enriques' threefold
The normality of closures of conjugacy classes of matrices.
The normality of closures of orbits in a Lie algebra.
The Number of Rational Quartics on Calabi-Yau Hypersurfaces in Weighted Projective Space P (2,1...).
The number of vertices of a Fano polytope
Let be a Gorenstein, -factorial, toric Fano variety. We prove two conjectures on the maximal Picard number of in terms of its dimension and its pseudo-index, and characterize the boundary cases. Equivalently, we determine the maximal number of vertices of a simplicial reflexive polytope.
The permutation classes equinumerous to the smooth class.
The Picard Group of a complex quotient variety.
The plurigenera of Gorenstein surface singularities.
The push-forward and Todd class of flag bundles
The Radius of Convergence of Poincaré Series of Loop Spaces.